Moving away from general relativity (i.e., \(\alpha \ne 0\) ; this constant must be positive in order to support cosmological observations [1]}), in considering \(n=2\) , NEC, WEC and SEC are not met nearby and at the wormhole throat; however, SEC is partially obeyed in a limited region of the space sufficiently far from it. For \(n=4\) , those conditions are all satisfied nearby the throat, provided the content of dark matter is not much high. On the other hand, according to the second one of Eqs. (REF ), a greater coupling constant \(\alpha \)  can compensate for the growth of the dark matter and thus SEC to continue being satisfied at the throat. This conclusion is also valid for the solutions in which \(n\ge 6\) . Away from the throat, the present energy conditions are partially fulfilled for all the cases.
